The Homotopy Perturbation Method and the Adomian Decomposition Method for the Nonlinear Coupled Equations
Year: 2009
Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 4 : pp. 334–351
Abstract
In this paper, we have used the homotopy perturbation and the Adomian decomposition methods to study the nonlinear coupled Kortewge-de Vries and shallow water equations. The main objective of this paper is to propose alternative methods of solutions, which do not require small parameters and avoid linearization and physical unrealistic assumptions. The proposed methods give more general exact solutions without much extra effort and the results reveal that the homotopy perturbation and the Adomian decomposition methods are very effective, convenient and quite accurate to the systems of coupled nonlinear equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v22.n4.3
Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 4 : pp. 334–351
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Homotopy perturbation method
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A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients
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https://doi.org/10.1155/2015/628310 [Citations: 2]